Practice — what type is this question? (Analytical Geometry)

Read each question and decide what type it is before revealing the answer.

Grade 10Paper 2Level 2 — Routine Procedures

In the diagram, P(1 ; 0), Q(6 ; 3) and R(9 ; −2) are the vertices of a triangle such that PQ = QR and PQ ⊥ QR. 2.1.1 Determine the length of PQ. Leave your answer in surd form.

Source: DBE Mathematics Paper 2, Grade 10, November 2018, Question 2.1.1

Grade 10Paper 2Level 1 — Knowledge

In the diagram, P(1 ; 0), Q(6 ; 3) and R(9 ; −2) are the vertices of a triangle. T is a point on PQ such that T is the midpoint of PQ. 2.1.3 Determine the coordinates of T.

Source: DBE Mathematics Paper 2, Grade 10, November 2018, Question 2.1.3

Grade 10Paper 2Level 2 — Routine Procedures

In the diagram, P(1 ; 0), Q(6 ; 3) and R(9 ; −2) are the vertices of a triangle. 2.1.2 Determine the gradient of PQ.

Source: DBE Mathematics Paper 2, Grade 10, November 2018, Question 2.1.2